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Finding the Fourth Proportional to 543,842.38, 815,880.30 and 228,117.34

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Solution

The fourth proportional to 543,842.38, 815,880.30 and 228,117.34 is: 342,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,842.38 : 815,880.30 = 228,117.34 : x
  2. Step 2: Convert to fraction form
    543,842.38/815,880.30 = 228,117.34/x
  3. Step 3: Cross multiply
    543,842.38x = 815,880.30 × 228,117.34
  4. Step 4: Simplify right side
    543,842.38x = 186,116,443,794.40
  5. Step 5: Solve for x
    x = 186,116,443,794.40/543,842.38
  6. Step 6: Final answer
    x = 342,224.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.